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412213107144 = 2331715719333343
BaseRepresentation
bin1011111111110011101…
…00001101100111001000
31110101222211200111101110
411333321310031213020
523223203023412034
6513211301250320
741532011412246
oct5777164154710
91411884614343
10412213107144
11149900609583
1267a814039a0
132cb43999067
1415d46215796
15aac8c11de9
hex5ff9d0d9c8

412213107144 has 128 divisors (see below), whose sum is σ = 1103825111040. Its totient is φ = 127828426752.

The previous prime is 412213107113. The next prime is 412213107157. The reversal of 412213107144 is 441701312214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12346137 + ... + 12379479.

It is an arithmetic number, because the mean of its divisors is an integer number (8623633680).

Almost surely, 2412213107144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412213107144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551912555520).

412213107144 is an abundant number, since it is smaller than the sum of its proper divisors (691612003896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412213107144 is a wasteful number, since it uses less digits than its factorization.

412213107144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33719 (or 33715 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 412213107144 its reverse (441701312214), we get a palindrome (853914419358).

The spelling of 412213107144 in words is "four hundred twelve billion, two hundred thirteen million, one hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 157 193 204 314 386 408 471 579 628 772 942 1158 1256 1544 1884 2316 2669 3281 3768 4632 5338 6562 8007 9843 10676 13124 16014 19686 21352 26248 30301 32028 33343 39372 60602 64056 66686 78744 90903 100029 121204 133372 181806 200058 242408 266744 363612 400116 515117 566831 727224 800232 1030234 1133662 1545351 1700493 2060468 2267324 3090702 3400986 4120936 4534648 5234851 6181404 6435199 6801972 10469702 12362808 12870398 13603944 15704553 19305597 20939404 25740796 31409106 38611194 41878808 51481592 62818212 77222388 88992467 109398383 125636424 154444776 177984934 218796766 266977401 328195149 355969868 437593532 533954802 656390298 711939736 875187064 1010326243 1067909604 1312780596 2020652486 2135819208 2625561192 3030978729 4041304972 6061957458 8082609944 12123914916 17175546131 24247829832 34351092262 51526638393 68702184524 103053276786 137404369048 206106553572 412213107144